Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
471480 | Computers & Mathematics with Applications | 2016 | 9 Pages |
Abstract
We consider the finite element approximation of an elliptic problem with homogeneous Dirichlet boundary conditions on a curved boundary and imposed using the penalty method. We establish optimal H1 error estimates with suitable assumptions on the penalty parameter ε as a function of the elements size h. Our focus is on establishing these results with least restrictive assumptions possible on this dependency.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Dione Ibrahima,